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5260512 = 253371481
BaseRepresentation
bin10100000100010011100000
3100220021001210
4110010103200
52321314022
6304430120
762466525
oct24042340
910807053
105260512
112a73334
121918340
13112253a
149ad14c
156dda0c
hex5044e0

5260512 has 48 divisors (see below), whose sum is σ = 14191632. Its totient is φ = 1704960.

The previous prime is 5260501. The next prime is 5260529. The reversal of 5260512 is 2150625.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2812 + ... + 4292.

It is an arithmetic number, because the mean of its divisors is an integer number (295659).

Almost surely, 25260512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5260512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7095816).

5260512 is an abundant number, since it is smaller than the sum of its proper divisors (8931120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5260512 is a wasteful number, since it uses less digits than its factorization.

5260512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 5260512 is about 2293.5806068242. The cubic root of 5260512 is about 173.9172548835.

The spelling of 5260512 in words is "five million, two hundred sixty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1481 1776 2962 3552 4443 5924 8886 11848 17772 23696 35544 47392 54797 71088 109594 142176 164391 219188 328782 438376 657564 876752 1315128 1753504 2630256 5260512